1 citations · 2 across the 7 of their papers we have counts for
10 papers
From Dimension Drop to Aperiodic Order
Natalia Jurga, Dmytro Karvatskyi
We consider the parametrised family of sets for $(x,y) \in…
Self-projective sets
Argyrios Christodoulou, Natalia Jurga
Self-projective sets are natural fractal sets which describe the action of a semigroup of matrices on projective space. In recent years there has been growing interest in studying…
Parabolic carpets
Jonathan M Fraser, Natalia Jurga
We introduce and study a family of non-conformal and non-uniformly contracting iterated function systems. We refer to the attractors of such systems as parabolic carpets. Roughly s…
Ledrappier-Young formulae for a family of nonlinear attractors
Natalia Jurga, Lawrence D. Lee
We study a natural class of invariant measures supported on the attractors of a family of nonlinear, non-conformal iterated function systems introduced by Falconer, Fraser and Lee.…
Box dimensions of -invariant sets
Jonathan M. Fraser, Natalia Jurga
We study the box dimensions of sets invariant under the toral endomorphism for integers . The basic example…
The Hausdorff dimension of self-projective sets
Argyrios Christodoulou, Natalia Jurga
Given a finite set we study the dimension of the attractor of the iterated function system induced by the projecti…
Dimension spectrum of infinite self-affine iterated function systems
Natalia Jurga
Given an infinite iterated function system (IFS) , we define its dimension spectrum to be the set of real numbers which can be realised as the dimensi…
The box dimensions of exceptional self-affine sets in
Jonathan M. Fraser, Natalia Jurga
We study the box dimensions of self-affine sets in which are generated by a finite collection of generalised permutation matrices. We obtain bounds for the dimension…
Dimensions of equilibrium measures on a class of planar self-affine sets
Jonathan Fraser, Thomas Jordan, Natalia Jurga
We study equilibrium measures (Käenmäki measures) supported on self-affine sets generated by a finite collection of diagonal and anti-diagonal matrices acting on the plane and sati…
Self-affine sets with non-compactly supported random perturbations
Thomas Jordan, Natalia Jurga
In this note we consider the Hausdorff dimension of self-affine sets with random perturbations. We extend previous work in this area by allowing the random perturbation to be distr…